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Simplifying 0.625(2x + -7) = 0.125(3x + 2) Reorder the terms: 0.625(-7 + 2x) = 0.125(3x + 2) (-7 * 0.625 + 2x * 0.625) = 0.125(3x + 2) (-4.375 + 1.25x) = 0.125(3x + 2) Reorder the terms: -4.375 + 1.25x = 0.125(2 + 3x) -4.375 + 1.25x = (2 * 0.125 + 3x * 0.125) -4.375 + 1.25x = (0.25 + 0.375x) Solving -4.375 + 1.25x = 0.25 + 0.375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375x' to each side of the equation. -4.375 + 1.25x + -0.375x = 0.25 + 0.375x + -0.375x Combine like terms: 1.25x + -0.375x = 0.875x -4.375 + 0.875x = 0.25 + 0.375x + -0.375x Combine like terms: 0.375x + -0.375x = 0.000 -4.375 + 0.875x = 0.25 + 0.000 -4.375 + 0.875x = 0.25 Add '4.375' to each side of the equation. -4.375 + 4.375 + 0.875x = 0.25 + 4.375 Combine like terms: -4.375 + 4.375 = 0.000 0.000 + 0.875x = 0.25 + 4.375 0.875x = 0.25 + 4.375 Combine like terms: 0.25 + 4.375 = 4.625 0.875x = 4.625 Divide each side by '0.875'. x = 5.285714286 Simplifying x = 5.285714286
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